One considers a steady flow down a wide plane, which is inclined to the horizontal by an angle of , under the action of gravitational force as shown in Figure 2. The depth of the fluids normal to the inclined plane is h. The lower half of the region (0yh/2) is filled with an incompressible fluid of density 1 and viscosity 1 while the upper half (h/2yh) is filled with another incompressible fluid of density 2 and viscosity 2. The flow is parallel to the inclined plane everywhere. Determine a) The velocity distribution (10 Points) b) The shear stress distribution (10 Points) c) The pressure distribution (10 Points) in each of the two regions